54164556336 has 320 divisors, whose sum is σ = 160520726016. Its totient is φ = 15593472000.

The previous prime is 54164556319. The next prime is 54164556379. The reversal of 54164556336 is 63365546145.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (3888000) is a multiple of the sum of its prime factors (540).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191394051 + ... + 191394333.

Almost surely, 2^54164556336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54164556336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80260363008).

54164556336 is an abundant number, since it is smaller than the sum of its proper divisors (106356169680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54164556336 is a wasteful number, since it uses less digits than its factorization.

54164556336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 48.

The spelling of 54164556336 in words is "fifty-four billion, one hundred sixty-four million, five hundred fifty-six thousand, three hundred thirty-six".